Abstract
This paper presents new classes of tree automata combining automata with equality test and automata modulo equational theories. We believe that these classes have a good potential for application in e.g. software verification. These tree automata are obtained by extending the standard Horn clause representations with equational conditions and rewrite systems. We show in particular that a generalized membership problem (extending the emptiness problem) is decidable by proving that the saturation of tree automata presentations with suitable paramodulation strategies terminates. Alternatively our results can be viewed as new decidable classes of first-order formula.
This work has been partially supported by the research projects RNTL PROUVÉ (No 03 V 360) and ACI–SI SATIN and ROSSIGNOL.
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Jacquemard, F., Rusinowitch, M., Vigneron, L. (2006). Tree Automata with Equality Constraints Modulo Equational Theories. In: Furbach, U., Shankar, N. (eds) Automated Reasoning. IJCAR 2006. Lecture Notes in Computer Science(), vol 4130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11814771_45
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DOI: https://doi.org/10.1007/11814771_45
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